What is the Least Common Multiple of 84594 and 84600?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84594 and 84600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84594 and 84600, than apply into the LCM equation.

GCF(84594,84600) = 6
LCM(84594,84600) = ( 84594 × 84600) / 6
LCM(84594,84600) = 7156652400 / 6
LCM(84594,84600) = 1192775400

Least Common Multiple (LCM) of 84594 and 84600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84594 and 84600. First we will calculate the prime factors of 84594 and 84600.

Prime Factorization of 84594

Prime Factorization of 84600

Now multiplying the highest exponent prime factors to calculate the LCM of 84594 and 84600.

LCM(84594,84600) = 2³ × 3² × 23¹ × 613¹ × 5² × 47¹
LCM(84594,84600) = 1192775400